Finding the Third Proportional to 172.13 and 298.27

Step by Step Solution

1. Step 1: Write the proportion equation
   172.13 : 298.27 = 298.27 : x
2. Step 2: Convert to fraction form
   172.13/298.27 = 298.27/x
3. Step 3: Cross multiply
   172.13x = 298.27 × 298.27
4. Step 4: Simplify right side
   172.13x = 88,962.38
5. Step 5: Solve for x
   x = 88,962.38/172.13
6. Step 6: Final answer
   x = 516.85